Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


Journal of Convex Analysis 27 (2020), No. 1, 227--236
Copyright Heldermann Verlag 2020



Existence and Uniqueness of Solutions for an Integral Perturbation of Moreau's Sweeping Process

Giovanni Colombo
Dip. di Matematica, Università di Padova, 35121 Padova, Italy
colombo@math.unipd.it

Christelle Kozaily
INRIA Rennes -- Bretagne Atlantique, 35042 Rennes, France
christelle.kozaily@inria.fr



We prove existence and uniqueness of solutions for a sweeping process driven by a prox-regular moving set with an integral forcing term, where the integrand is Lipschitz with respect to the state variable. The problem is motivated by a model introduced by Brenier, Gangbo, Savaré and Westdickenberg [Sticky particle dynamics with interactions, J. Math. Pures Appl. 99 (2013) 577--617]. The proof is based on a general type of penalization.

Keywords: Evolution equations, moving sets, prox-regular sets, differential inequalities

MSC: 34G25.

[ Fulltext-pdf  (111  KB)] for subscribers only.